Question

英文数学题 高分求强人!!!

Starting with any positive integer n, we produce another number m as follows.

If n is odd, then m = 3n -1
If n is even, then m = n/2

By repeating this process, n generates a sequence called a snowstorm, the numbers of which are called snowflakes of n.

For example the snowstorm of 4 is: 4, 2,1,2,1 ..... and so on. Sometimes we arrange the snowstorm in a diagram to indicated cycles.

4⇒ 2 ⇒ 1 (and then an arrow goes from the end (1) and back to the (2) to form a cycle.

Here we have a cycle of length 2.

Question: Explain why no cycle can contain a number that is a multiple of three.

Answer 1

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Answer 2

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